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Apr 22, 2016 at 17:45 vote accept Will Dukeminier
Apr 21, 2016 at 6:38 answer added David Loeffler timeline score: 9
Apr 21, 2016 at 1:41 history edited Will Dukeminier CC BY-SA 3.0
added 32 characters in body
Apr 21, 2016 at 1:28 comment added Will Dukeminier @GHfromMO thanks for the comment, I realize the mistake I made. I'm rewriting the question in order to address this. I'm using the definition in terms of ideals instead the idele class group.
Apr 20, 2016 at 23:30 comment added GH from MO Note that your notion of "Hecke character" is non-standard. The standard notion is a continuous complex-valued character of the idele class group of $K$. A subset of these true Hecke characters can be identified, by class field theory, with the continuous complex-valued characters of $G_K$, which have finite image automatically.
Apr 20, 2016 at 23:17 comment added Venkataramana what sort of characters do you have in mind? What is the topology on ${\overline {\mathbb Q}}^*$? Is it discrete? With respect to this topology, do you want the characters to be continuous?
Apr 20, 2016 at 23:00 review First posts
Apr 20, 2016 at 23:17
Apr 20, 2016 at 22:54 history asked Will Dukeminier CC BY-SA 3.0